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Finding the Fourth Proportional to 653.05, 978.36 and 545.32

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Solution

The fourth proportional to 653.05, 978.36 and 545.32 is: 816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.05 : 978.36 = 545.32 : x
  2. Step 2: Convert to fraction form
    653.05/978.36 = 545.32/x
  3. Step 3: Cross multiply
    653.05x = 978.36 × 545.32
  4. Step 4: Simplify right side
    653.05x = 533,519.28
  5. Step 5: Solve for x
    x = 533,519.28/653.05
  6. Step 6: Final answer
    x = 816.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.